~*~ طلب برهان نظرية في الاحتمالات ~*~

[~*Zelda.Q*~]

<div align="center"><br><font color="RoyalBlue"><b><font face="Tahoma"><u><br>السلام عليكم ورحمة <font color="Red">الله</font> وبركاته </u><br><br>اذا ممكن تساعدوني في برهنة هذه العبارة هي ليست نظرية ..<br><br>ولكنها تمثل شرط من شروط <font color="DarkOrange">دالة الاحتمالات</font> ..<br></font></b></font><br><br></div><div align="center"><meta content="text/html; charset=utf-8" http-equiv="Content-Type"><meta content="Word.Document" name="ProgId"><meta content="Microsoft Word 12" name="Generator"><meta content="Microsoft Word 12" name="Originator"><link href="file:///C:%5CUsers%5CLinkQ%5CAppData%5CLocal%5CTemp%5Cmsoh tmlclip1%5C01%5Cclip_filelist.xml" rel="File-List"><link href="file:///C:%5CUsers%5CLinkQ%5CAppData%5CLocal%5CTemp%5Cmsoh tmlclip1%5C01%5Cclip_themedata.thmx" rel="themeData"><link href="file:///C:%5CUsers%5CLinkQ%5CAppData%5CLocal%5CTemp%5Cmsoh tmlclip1%5C01%5Cclip_colorschememapping.xml" rel="colorSchemeMapping"><style>
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</div><p class="MsoNormal" align="center"><font face="Tahoma"><b><font color="RoyalBlue"><span style="" arial="" ,="" sans-serif="" ;="" dir="rtl" lang="AR-SA">اذا كان </span></font></b></font></p><div align="center">

</div><p class="MsoNormal" align="center"><font face="Tahoma"><b><font color="RoyalBlue">A1,A2,A3 …..<span dir="rtl"><span style="" arial="" ,="" sans-serif="" ;="" dir="rtl" lang="AR-SA"><span dir="rtl"> <o:p></o:p></span></span></span></font></b></font></p><div align="center">

</div><p class="MsoNormal" align="center"><font face="Tahoma"><b><font color="RoyalBlue"><span style="" arial="" ,="" sans-serif="" ;="" dir="rtl" lang="AR-SA">مجموعة من الأحداث بحيث أن </span></font></b></font></p><div align="center">

</div><p class="MsoNormal" align="center"><font face="Tahoma"><b><font color="RoyalBlue"><span style="">&nbsp;</span>Ai Π Aj=ф ,(i≠j)</font></b></font></p><div align="center">

</div><p class="MsoNormal" align="center"><font face="Tahoma"><b><font color="RoyalBlue"><span style="" arial="" ,="" sans-serif="" ;="" dir="rtl" lang="AR-SA">فان : <o:p></o:p></span></font></b></font></p><div align="center">

</div><p class="MsoNormal" align="center"><font face="Tahoma"><b><font color="RoyalBlue"><span style="" arial="" ,="" sans-serif="" ;="" dir="rtl" lang="AR-SA"><o:p>&nbsp;</o:p></span></font></b></font></p><div align="center">

</div><p class="MsoNormal" align="center"><font face="Tahoma"><b><font color="RoyalBlue">P(U An)=∑ P(An)</font></b></font></p><div align="center">

</div>

[زهرة الرياضيات]

يمكن حلها باستخدام CONTRA POSITIVE
let Ф# ∩AiAj
then we find x s.t <?xml:namespace prefix = v ns = "urn:schemas-microsoft-com:vml" /><v:group id=_x0000_s1026 style="MARGIN-TOP: 186.75pt; Z-INDEX: 1; LEFT: 0px; MARGIN-LEFT: 151.5pt; WIDTH: 48pt; POSITION: absolute; HEIGHT: 36pt; TEXT-ALIGN: left" coordsize="960,720" coordorigin="3180,3960"><v:shape id=_x0000_s1027 style="LEFT: 3180px; WIDTH: 960px; POSITION: absolute; TOP: 3960px; HEIGHT: 720px" coordsize="1320,720" filled="f" path="m1320,c720,120,120,240,60,360,,480,810,660,960,720 e"><v:path arrowok="t"></v:path></v:shape><v:line id=_x0000_s1028 style="POSITION: absolute" coordsize="21600,21600" to="3960,4320" from="3240,4320"></v:line><?xml:namespace prefix = w ns = "urn:schemas-microsoft-com:office:word" /><w:wrap anchorx="page"></w:wrap></v:group>
x in {Aj .Ai
let P(Aj)=m<v:group id=_x0000_s1026 style="MARGIN-TOP: 186.75pt; Z-INDEX: 1; LEFT: 0px; MARGIN-LEFT: 151.5pt; WIDTH: 48pt; POSITION: absolute; HEIGHT: 36pt; TEXT-ALIGN: left" coordsize="960,720" coordorigin="3180,3960"> <v:shape id=_x0000_s1027 style="LEFT: 3180px; WIDTH: 960px; POSITION: absolute; TOP: 3960px; HEIGHT: 720px" coordsize="1320,720" filled="f" path="m1320,c720,120,120,240,60,360,,480,810,660,960,720 e"><v:path arrowok="t"></v:path></v:shape><v:line id=_x0000_s1028 style="POSITION: absolute" coordsize="21600,21600" to="3960,4320" from="3240,4320"></v:line><w:wrap anchorx="page"></w:wrap></v:group><v:group id=_x0000_s1029 style="MARGIN-TOP: 186.75pt; Z-INDEX: 1; LEFT: 0px; MARGIN-LEFT: 151.5pt; WIDTH: 48pt; POSITION: absolute; HEIGHT: 36pt; TEXT-ALIGN: left" coordsize="960,720" coordorigin="3180,3960"><v:shape id=_x0000_s1030 style="LEFT: 3180px; WIDTH: 960px; POSITION: absolute; TOP: 3960px; HEIGHT: 720px" coordsize="1320,720" filled="f" path="m1320,c720,120,120,240,60,360,,480,810,660,960,720 e"><v:path arrowok="t"></v:path></v:shape><v:line id=_x0000_s1031 style="POSITION: absolute" coordsize="21600,21600" to="3960,4320" from="3240,4320"></v:line><w:wrap anchorx="page"></w:wrap></v:group>
and P(Ai)= n
then P(Aj∩Ai)#n+m
اذن بالبرهان المناقض الايجابي فان ما شبق صحيح عند التعميم لاكتر من مجموعتين
ما بعرف اذا نسيت شي من البرهان لان كنت بكتب ببطء بسبب اني ما عندي برنامج كتابة الرموز الرياضية لهيك بتعزروني

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